nth term a_{n}=4(-2)^{n-1}

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

simplify solve for expand factor rationalize

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Steps Examples

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expand (6x−4)²−(5y−10)²

Solution

36x²−48x−25y²+100y−84

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Taylor Series

Taylor series of function f(x) at a is defined as:
f(x)=f(a)+f^′(a)1! (x−a)+f^′′(a)2! (x−a)²+f^′′′(a)3! (x−a)³+…

Apply the Taylor Formula

=1+ddx (sec²(x))(0)1! x+d²dx² (sec²(x))(0)2! x²+d³dx³ (sec²(x))(0)3! x³+…

Evaluate Derivatives

=1+01! x+22! x²+03! x³+164! x⁴+05! x⁵+2726! x⁶+07! x⁷+79368! x⁸+…

Refine

=1+x²+23 x⁴+1745 x⁶+62315 x⁸+…

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